Module mp05
source code
The Miloushev and Palmer (2005) 2site exchange R1rho MP05 model.
Description
This module is for the function, gradient and Hessian of the MP05 model.
References
The model is named after the reference:

Miloushev V. Z. and Palmer A. (2005). R1rho relaxation for
twosite chemical exchange: General approximations and some exact
solutions. J. Magn. Reson., 177, 221227. (DOI: 10.1016/j.jmr.2005.07.023).
Code origin
The code was copied from the TP02 model,
hence it originates as the funTrottPalmer.m Matlab file from the
sim_all.tar file attached to task #7712 (https://web.archive.org/web/https://gna.org/task/?7712). This is code from
Nikolai Skrynnikov and Martin Tollinger.
Links to the copyright licensing agreements from all authors
are:
Links
More information on the MP05 model can be found in the:

r1rho_MP05(r1rho_prime=None,
omega=None,
offset=None,
pA=None,
pB=None,
dw=None,
kex=None,
R1=0.0,
spin_lock_fields=None,
spin_lock_fields2=None,
back_calc=None,
num_points=None)
Calculate the R1rho' values for the TP02 model. 
source code



__package__ = ' lib.dispersion '

Imports:
abs,
arctan2,
array,
isfinite,
min,
sin,
sum
r1rho_MP05(r1rho_prime=None,
omega=None,
offset=None,
pA=None,
pB=None,
dw=None,
kex=None,
R1=0.0,
spin_lock_fields=None,
spin_lock_fields2=None,
back_calc=None,
num_points=None)
 source code

Calculate the R1rho' values for the TP02 model.
See the module docstring for details. This is the Miloushev and
Palmer (2005) equation according to Korzhnev (J. Biomol. NMR (2003), 26,
3948).
 Parameters:
r1rho_prime (float)  The R1rho_prime parameter value (R1rho with no exchange).
omega (float)  The chemical shift for the spin in rad/s.
offset (numpy rank1 float array)  The spinlock offsets for the data.
pA (float)  The population of state A.
pB (float)  The population of state B.
dw (float)  The chemical exchange difference between states A and B in rad/s.
kex (float)  The kex parameter value (the exchange rate in rad/s).
R1 (float)  The R1 relaxation rate.
spin_lock_fields (numpy rank1 float array)  The R1rho spinlock field strengths (in rad.s^1).
spin_lock_fields2 (numpy rank1 float array)  The R1rho spinlock field strengths squared (in rad^2.s^2).
This is for speed.
back_calc (numpy rank1 float array)  The array for holding the back calculated R1rho values. Each
element corresponds to the combination of offset and spin lock
field.
num_points (int)  The number of points on the dispersion curve, equal to the length
of the spin_lock_fields and back_calc arguments.
